• Journal of Inorganic Materials
  • Vol. 37, Issue 1, 51 (2022)
Junhui PENG* and Evgenii TIKHONOV
DOI: 10.15541/jim20210179 Cite this Article
Junhui PENG, Evgenii TIKHONOV. Vacancy on Structures, Mechanical and Electronic Properties of Ternary Hf-Ta-C System: a First-principles Study[J]. Journal of Inorganic Materials, 2022, 37(1): 51 Copy Citation Text show less
Crystal structure prediction and (Hf, Ta)C1-x vacancy ordered structure
. Crystal structure prediction and (Hf, Ta)C1-x vacancy ordered structure
Phonon dispersion curves of (a) Hf5TaC5, (b) Hf3TaC3, (c) Hf6Ta2C7, (d) Hf2TaC2, (e) Hf4Ta2C5, (f) Hf3Ta3C5, (g) Hf2Ta4C5, and (h) HfTa5C5
. Phonon dispersion curves of (a) Hf5TaC5, (b) Hf3TaC3, (c) Hf6Ta2C7, (d) Hf2TaC2, (e) Hf4Ta2C5, (f) Hf3Ta3C5, (g) Hf2Ta4C5, and (h) HfTa5C5
Crystal structures of (a) Hf5TaC5, (b) Hf3TaC3, (c) Hf6Ta2C7, (d) Hf2TaC2, (e) Hf4Ta2C5, (f) Hf3Ta3C5, (g) Hf2Ta4C5, and (h) HfTa5C5 All sharing the rock-salt structure; Black square represents the structural vacancy
. Crystal structures of (a) Hf5TaC5, (b) Hf3TaC3, (c) Hf6Ta2C7, (d) Hf2TaC2, (e) Hf4Ta2C5, (f) Hf3Ta3C5, (g) Hf2Ta4C5, and (h) HfTa5C5 All sharing the rock-salt structure; Black square represents the structural vacancy
Effect of vacancy on mechanical properties for ternary Hf-Ta-C system
. Effect of vacancy on mechanical properties for ternary Hf-Ta-C system
Density of state (DOS) and partial DOS (PDOS) normalized by per (Hf, Ta)C1-x of (a) Hf5TaC5, (b) Hf3TaC3, (c) Hf6Ta2C7, (d) Hf2TaC2, (e) Hf4Ta2C5, (f) Hf3Ta3C5, (g) Hf2Ta4C5, and (h) HfTa5C5(The Fermi level being set at 0 eV)
. Density of state (DOS) and partial DOS (PDOS) normalized by per (Hf, Ta)C1-x of (a) Hf5TaC5, (b) Hf3TaC3, (c) Hf6Ta2C7, (d) Hf2TaC2, (e) Hf4Ta2C5, (f) Hf3Ta3C5, (g) Hf2Ta4C5, and (h) HfTa5C5(The Fermi level being set at 0 eV)
CompoundSpace groupLattice constants/nmAbove convex-hull /(eV·atom-1) ΔHf/(eV·atom-1) CNx
Hf5TaC5Cma=0.567, b=0.976, c=0.929, β=145.1° 0-0.89255, 51/6
Hf3TaC3P-1a=0.567, b=0.648, c=0.565 α=89.4°, β=69.6°, γ=91.3° 0.0007-0.84085/4, 41/4
Hf6Ta2C7P-1a=0.565, b=0.562, c=0.653 α=90.4°, β=72.4°, γ=99.8° 0-0.88686/5, 51/8
Hf2TaC2P-1a=0.566, b=0.554, c=0.560 α=119.4°, β=98.4°, γ=102.4° 0.0012-0.78424, 41/3
Hf4Ta2C5P-1a=0.559, b=0.561, c=0.559 α=109.1°, β=100.1°, γ=60.3° 0-0.86045, 51/6
Hf3Ta3C5Cma=0.558, b=0.963, c=0.644, β=125.2° 0.0009-0.81615, 51/6
Hf2Ta4C5C2/ma=0.551, b=0.963, c=0.551, β=71.3° 0-0.77355, 51/6
HfTa5C5Cma=0.548, b=0.954, c=0.548, β=109.2° 0-0.70335, 51/6
Table 1. Space groups, lattice constants, enthalpy above the convex-hull, formation enthalpy (ΔHf), concentration of vacancy (x) and coordination number (CN) of Hf or Ta for ternary (Hf, Ta)C1-x vacancy ordered structures
CompoundC11 /GPa C22/GPa C33/GPa C44/GPa C55/GPa C66/GPa C12/GPa C13/GPa C23/GPa B/GPa G/GPa E/GPa Hv/GPa G/Bμ
Hf5TaC5422.9446.8432.1177.0177.0156.1105.3129.0122.5223.8162.7393.024.090.72710.2074
Hf3TaC3382.3407.8403.3156.7156.7121.6102.9123.1121.8209.3141.4346.119.880.67540.2244
Hf6Ta2C7454.5482.0472.3180.9180.9171.3122.2135.9114.0239.1170.6413.424.230.71330.2119
Hf2TaC2365.7399.7384.9136.2136.2108.5121.0118.9112.0205.7128.8319.816.850.62650.2409
Hf4Ta2C5443.4423.5441.2175.4175.4160.2122.8135.9140.4233.9162.6395.922.680.69490.2179
Hf3Ta3C5431.3443.6433.6185.4185.4153.1129.2149.3154.0241.4157.2387.520.340.65130.2325
Hf2Ta4C5476.5446.7477.6199.4199.4161.1141.9163.7155.6257.9168.3414.621.340.65250.2320
HfTa5C5491.9473.8484.4209.8209.8171.5149.6165.6166.9268.2175.7432.622.080.65510.2312
Table 2. Calculated elastic constants (Cij) and mechanical properties-bulk modulus (B), shear modulus (G/), elastic modulus (E), Poisson’s ratio (μ), Vickers hardness (Hv) and Pugh’s ratio (G/B) of (Hf, Ta)C1-x vacancy ordered structures
Junhui PENG, Evgenii TIKHONOV. Vacancy on Structures, Mechanical and Electronic Properties of Ternary Hf-Ta-C System: a First-principles Study[J]. Journal of Inorganic Materials, 2022, 37(1): 51
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